A renormalization-group invariant mean-field treatment of the Parity-Doublet Model is developed that consistently includes baryonic vacuum fluctuations and is used to study chiral symmetry restoration in two-flavor nuclear and neutron-star matter for chosen values of the chirally invariant mass m0.
Vacuum fluctuations and the thermodynamics of chiral models
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abstract
We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show that the fermion vacuum fluctuations can change the order of the phase transition in the chiral limit and strongly influence physical observables. We compute the temperature-dependent effective potential and baryon number susceptibilities in these models, with and without the vacuum term, and explore the cutoff and the pion mass dependence of the susceptibilities. Finally, in the renormalized model the divergent vacuum contribution is removed using the dimensional regularization.
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2025 2verdicts
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In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.
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Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter
A renormalization-group invariant mean-field treatment of the Parity-Doublet Model is developed that consistently includes baryonic vacuum fluctuations and is used to study chiral symmetry restoration in two-flavor nuclear and neutron-star matter for chosen values of the chirally invariant mass m0.
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Dissecting the moat regime at low energies I: Renormalization and the phase structure
In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.